What is the derivative of y=2e^xcos(x) ?

The derivative of y=2e^xcos(x) is 2(e^xcos(x)-e^xsin(x))

What is the first derivative of y=2e^xcos(x) ?

The first derivative of y=2e^xcos(x) is 2(e^xcos(x)-e^xsin(x))

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derivative of

y = 2 e^{x} cos (x)

2 (e^{x} cos (x) - e^{x} sin (x))

Solution steps

\frac{d}{d x} (2 e^{x} cos (x))

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 2 \frac{d}{d x} (e^{x} cos (x))

Apply the Product Rule:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = e^{x}, g = cos (x)

= 2 (\frac{d}{d x} (e^{x}) cos (x) + \frac{d}{d x} (cos (x)) e^{x})

\frac{d}{d x} (e^{x}) = e^{x}

\frac{d}{d x} (cos (x)) = - sin (x)

= 2 (e^{x} cos (x) + (- sin (x)) e^{x})

Simplify

= 2 (e^{x} cos (x) - e^{x} sin (x))

\frac{( \frac{1}{2} )}{s}

\int 3 x^{\frac{1}{8}} d x

\frac{\partial}{\partial x} (e^{2})

- 3 x^{2} + 3 x + 1, at x = 1

n = 0 \sum \infty (\frac{6}{5})^{- n}

What is the derivative of y=2e^xcos(x) ?
The derivative of y=2e^xcos(x) is 2(e^xcos(x)-e^xsin(x))
What is the first derivative of y=2e^xcos(x) ?
The first derivative of y=2e^xcos(x) is 2(e^xcos(x)-e^xsin(x))